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3 years ago

Which inequality is represented by this graph?

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

D) $y> -\frac{1}{6} x +1$

Step-by-step explanation:

It's going up so it has to be greater than sign, and it's dotted

You might be interested in

Simplify the sum (3x^4 + 2x^2 + 1) + (5x^4 - 9x - 7)

Wittaler [7]

Answer:

8x^4 + 2x^2 - 9x - 6

Hope this helps!

7 0

3 years ago

Adrian has 34.5 feet of rope adrain uses 10.72 feet to make a swing how much rope left to left over after making the swing

Natasha_Volkova [10]

Answer:

23.78

Step-by-step explanation:

34.50-10.72=23.78

7 0

3 years ago

Find the missing side or angle.

kkurt [141]

Hope you understand :)

4 0

3 years ago

The first day Rita participates in a biathlon, she jogs at a rate of 6 miles/hour and bikes at a rate of 10 miles/hour. She cove

mafiozo [28]

Answer: she biked 0.8 hour each day

Step-by-step explanation:

Let x represent the number of hours that she jogged on both days.

Let y represent the number of hours that she biked on both days.

Distance = speed × time

On the first day, she jogs at a rate of 6 miles/hour and bikes at a rate of 10 miles/hour. She covers a total of 26 miles that day. This is expressed as

6x + 10y = 26- - - - - - - - - - - - - - - 1

The second day, she continues to jog at a rate of 6 miles/hour, but a hamstring pull slows her biking rate to 5 miles/hour. The second day she covers a total of 22 miles. This means that

6x + 5y = 22- - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

5y = 4

y = 4/5 = 0.8

Substituting y = 0.8 into equation 1, it becomes

6x + 10(0.8) = 26

6x + 8 = 26

6x = 26 - 8 = 18

x = 18/6

x = 3

8 0

3 years ago

The army reports that the distribution of waist sizes among female soldiers is approximately normal, with a mean of 28.4 inches

____ [38]

Using the normal distribution, it is found that:

a) Her waist is at the 2.74th percentile.

b) 99.86% of female soldiers requires custom uniform pants.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 28.4, \sigma = 1.2$ .

Item a:

The percentile is the <u>p-value of Z when X = 26.1,</u> hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{26.1 - 28.4}{1.2}$

Z = -1.92

Z = -1.92 has a p-value 0.0274 = 2.74th percentile.

Item b:

The proportion is the <u>p-value of Z when X = 32 subtracted by the p-value of Z when X = 24</u>, hence:

X = 32:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 28.4}{1.2}$

Z = 3.

Z = 3 has a p-value 0.9987.

X = 24:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 28.4}{1.2}$

Z = -3.67.

Z = -3.67 has a p-value 0.0001.

0.9987 - 0.0001 = 0.9986 = 99.86% of female soldiers requires custom uniform pants.

More can be learned about the normal distribution at brainly.com/question/25800303

#SPJ1

4 0

2 years ago